Exercise 1.4.26

Use a graph to estimate the values of x such that e x > 1 , 000 , 000 , 000 .

Answers

As we can see from the graph, the value of e x surpasses 1 0 9 after x ≈ 20 . 723 . We can find a more exact value of x as follows:

e x > 1 0 9 ⟹ x > log ⁡ e 1 0 9 ⇒ x > ln ⁡ 1 0 9 ⟹ x > 9 ln ⁡ 10 .

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2023-09-07 15:48
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